384815873988 has 576 divisors, whose sum is σ = 1320296140800. Its totient is φ = 91598791680.

The previous prime is 384815873957. The next prime is 384815874049. The reversal of 384815873988 is 889378518483.

384815873988 is a `hidden beast` number, since 3 + 8 + 4 + 8 + 1 + 587 + 39 + 8 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

Its product of digits (371589120) is a multiple of the sum of its prime factors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 556896723 + ... + 556897413.

It is an arithmetic number, because the mean of its divisors is an integer number (2292180800).

Almost surely, 2^384815873988 is an apocalyptic number.

384815873988 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384815873988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660148070400).

384815873988 is an abundant number, since it is smaller than the sum of its proper divisors (935480266812).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

384815873988 is a wasteful number, since it uses less digits than its factorization.

384815873988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1147 counting only the distinct ones).

The product of its digits is 371589120, while the sum is 72.

The spelling of 384815873988 in words is "three hundred eighty-four billion, eight hundred fifteen million, eight hundred seventy-three thousand, nine hundred eighty-eight".